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Finding the Third Proportional to 322,752 and 701,568

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Solution

The third proportional to 322,752 and 701,568 is: 1,525,002.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,752 : 701,568 = 701,568 : x
  2. Step 2: Convert to fraction form
    322,752/701,568 = 701,568/x
  3. Step 3: Cross multiply
    322,752x = 701,568 × 701,568
  4. Step 4: Simplify right side
    322,752x = 492,197,658,624
  5. Step 5: Solve for x
    x = 492,197,658,624/322,752
  6. Step 6: Final answer
    x = 1,525,002.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.